Structure of Morse flows with at most six singular points on the torus with a hole
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910397117759488 |
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| author | Loseva, Maria Prishlyak, Alexandr Semenovych, Kateryna Synieok, Dariia |
| author_facet | Loseva, Maria Prishlyak, Alexandr Semenovych, Kateryna Synieok, Dariia |
| contents | We describe all possible topological structures of Morse flows and typical gradient saddle-nod bifurcation of flows on the 2-dimensional torus with a hole in the case that the number of singular point of flows is at most six. To describe structures, we use separatrix diagrams of flows. The saddle-node bifurcation is specified by selecting a separatrix in the separatrix diagram of the flow befor the bifurcation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02223 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure of Morse flows with at most six singular points on the torus with a hole Loseva, Maria Prishlyak, Alexandr Semenovych, Kateryna Synieok, Dariia Dynamical Systems Geometric Topology 37c10, 37c15, 37c20 G.1.7 We describe all possible topological structures of Morse flows and typical gradient saddle-nod bifurcation of flows on the 2-dimensional torus with a hole in the case that the number of singular point of flows is at most six. To describe structures, we use separatrix diagrams of flows. The saddle-node bifurcation is specified by selecting a separatrix in the separatrix diagram of the flow befor the bifurcation. |
| title | Structure of Morse flows with at most six singular points on the torus with a hole |
| topic | Dynamical Systems Geometric Topology 37c10, 37c15, 37c20 G.1.7 |
| url | https://arxiv.org/abs/2404.02223 |